In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.


Related Questions

Help me pls I don’t get this one

Answers

Answer: <BAC is 28.5

Step-by-step explanation:

line AO and Line OB are congruent (both are radius of the circle)

<BAC and <OBA are congruent

<AOB is linear to BOC so 180-57= 123 <AOB is 123

Triangle AOB is Isosceles

2a+123=180

2a=57

a=28.5

Does anyone know what the answer please?

Answers

Answer:

[tex]\angle 1 \cong \angle 7[/tex]

Step-by-step explanation:

We proceed to present which angles corresponds with [tex]\angle 7[/tex], accompained with reason based on Theorems used in Euclidean Geometry. Two angles are correspondent if and only if are in the same side of the secant line, one of them is internal and the other one is external.

Hence, we conclude that [tex]\angle 1 \cong \angle 7[/tex].

A quadrilateral is inscribed in a circle. Find the measure of each missing angle as labeled below. explain answer please

Answers

9514 1404 393

Answer:

C = 95°D = 72°F = 108°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. Inscribed angles are half the measure of the arc they subtend. (The latter statement can be used to prove the former one.)

Using these relations, we have ...

  C = 180° -E = 180° -85° = 95°

  D = 144°/2 = 72°

  F = 180° -D = 180° -72° = 108°


what is meant by the present value of money?​

Answers

Answer:

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return. Future cash flows are discounted at the discount rate, and the higher the discount rate, the lower the present value of the future cash flows.

How to find PV:Calculating present value is called discounting. Discounting cash flows, like our $25,000, simply means that we take inflation and the fact that money can earn interest into account.

...

Calculating Present Value Using the Formula

FV = the future value.

i = interest rate.

t = number of time periods.

Step-by-step explanation:

Answer: Present value, also known as discounted value, is a financial calculation that measures the worth of a future amount of money or stream of payments in today’s dollars adjusted for interest and inflation. In other words, it compares the buying power of one future dollar to purchasing power of one today

Step-by-step explanation:

5th grade math. correct answer will be marked brainliest

Answers

Answer:

7/12 teaspoons

fraction

Step-by-step explanation:

Amount of salt that would be used = 1[tex]\frac{3}{4}[/tex] x [tex]\frac{1}{3}[/tex]

Convert [tex]1\frac{3}{4}[/tex] to an improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator

(1 x 4) + 3 = [tex]\frac{7}{4}[/tex]

7/4 x 1/3 = 7/12

Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?

Answers

The area of the baby blanket is 6 feet. The area of the queen size is 54 feet.
The area of the baby blanket is 9x smaller.

The area of the queen sized blanket is 9 times bigger than the area baby blanket.

What is the area of a rectangle?

The area of a rectangle is the multiplication of it's length and breadth.

Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.

The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.

Therefore, the ratio of the baby blanket : queen sized blanket

= 6 : 54

= 1 : 9

Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.

Lear more about the area of the rectangle here: https://brainly.com/question/24408520

#Tag #SPJ2

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

Angles and XWY and STR

Step-by-step explanation:

These two angels are alternate exterior angels because:

- They are on different sides of the transversal (the line intersecting the two parallel lines)

- They have the same angle measure

- They are exterior, meaning they are on the outside, not inside (interior)

Hope this helps!!! :)

Find the equation for the
following parabola.
Vertex (0, 0)
Focus (-3, 0)
A. 42 = 12y
B. y2 = -12%
C. -(3/2)/2 = x
D. X2 = 127

Answers

Answer:

::::::::::

B. y^2= -12x

Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:

less than $148,400 if the standard deviation is $800.

Answers

https://www.justanswer.com/math-homework/4u8eg-suppose-prices-certain-model-new-homes-normally.html

Find each measurement indicated. Round your answers to the nearest tenth.

Answers

Answer:

52.08°

Step-by-step explanation:

Law of sine: [tex]\frac{93}{25}[/tex]=[tex]\frac{x}{14}[/tex]

93*14=25x

1302=25x

52.08=x

I need to find the area!
Plz help me find the answer!

Answers

ANSWER:

680 sq units

MARK ME BRAINLIEST PLEASE

Please help, find the value of y

Answers

Answer

Step-by-step explanation:

chord makes  or arc make 120° at the center.

sum of other two angles of triangle=180-120=60

because they are equal.

so each angle=60/2=30°

tangent line makes angle 90° with radius .

so 30+y=90

y=90-30=60°

20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WHY OR ELSE I WILL REPORT.

Answers

Answer:

both each side of each triangle is equal

use alphabets to mark each edge of the triangles and prove congruency

number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does it take the size of the sample to double ? growth rato parameter of 48% per hour

Answers

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

Growth rato parameter of 48% per hour

This means that [tex]r = 0.48[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = P(0)(1+0.48)^t[/tex]

[tex]P(t) = P(0)(1.48)^t[/tex]

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

[tex]P(t) = P(0)(1.48)^t[/tex]

[tex]2P(0) = P(0)(1.48)^t[/tex]

[tex](1.48)^t = 2[/tex]

[tex]\log{(1.48)^t} = \log{2}[/tex]

[tex]t\log{1.48} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.48}}[/tex]

[tex]t = 1.77[/tex]

It takes 1.77 hours for the population to double.

Find the magnitude of vector v with initial point (7,5) and terminal point (-3,-5).

Answers

Answer:

10√2

Step-by-step explanation:

magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²

magnitude of vector v = √200 = 10√2

A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?​

Answers

$39.96 should be ur answer

In this diagram use pythagoras theorem to calculate the length of the marked side

Answers

Answer:

[tex] 5\sqrt{7} [/tex]

Step-by-step explanation:

using Pythagoras theorem

[tex]d = \sqrt{ {20}^{2} - {(15)}^{2} } \\ [/tex]

[tex]d = 5 \sqrt{7} [/tex]

Step-by-step explanation:

Hyponues²= Base²+Height ²

20cm²=Base²+15cm²

400cm-225cm=H²

175=H²

5√7 Answer

3 points
Using this set of data: 5,7,7,6, 4, 8, 17,5,7,5, 6 and 5 find the following
items.
7
5
6.5
4
8
2
third quartile
interquartile
range
first quartile
O
Back
Next
Page 2 of 5

Answers

Answer:

Step-by-step explanation:

Find the circumference of the circle and round to the nearest tenth

Answers

Answer:

circumference of circle = 2×pi×r

circumference of circle = 2×3.14×12.7

circumference of circle = 79.756 in

three times one number minus a second is 8 and the sum of the number is 12

Answers

Answer:

one number is 2

second number if 3 1/3

Step-by-step explanation:

a = one number

b = second number

3a - b = 8

3a + b = 12

add together:

6a = 20

a = 20/6 or 10/3

find 'b':

3(10/3) - b = 8

10 - b = 8

-b = -2

b = 2

what is the meaning of kiss

Answers

Answer:

wrong subject but, kiss means i guess to lock lips in a passionate way or in a greeting way. In some countries kissing someone on the cheek or past the cheek is a sign of a greeting i believe.

In short kissing means a way to show compassion or love.

Find the area of the figure. Round to the nearest tenth.
6.5
3
O 14.6 units2
O 22.4 units2
15.0 units2
O 18.2 units2

Answers

Answer:

Area total = 14.6

Step-by-step explanation:

The composite area from left to right is

a half circle plus a rectangle minus a triangle

Area total = π r²/2 + bh - 1/2(bh)

                = π (d/2)²/2 + bh - 1/2(b)(h triangle       use Pythagorean theorem

                = π (3/2)²/2 + 5(3) - 1/2(3)(√(3² - 1.5²)           h triangle = c² - (b/2)²

                = π 1.5²/2  + 15  -  1/2(3)(2.598)

Area total = 14.637 units²            

Find X and Y, THIS IS DUE VERY SOON, PLEASE HELP!

Answers

Answer:

X is equal to 8, and Y is equal to 35

Step-by-step explanation:

You'll use the Pytagoras theorem to find the values of X and Y.

C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm

Answers

Answer:

B

Step-by-step explanation:

NEED NOW WILL NAME BRAINLYIST
Determine if the three side lengths given in each problem can create a triangle or not.
a. 12 cm, 14 cm, 20 cm
b. 4 m, 8 m, 12 m
c. 23 cm, 12 cm, 13 cm

Answers

Answer:

a) yes

b) no

c) yes

Step-by-step explanation:

the sum of the 2 shorter sides must be longer than the longest side

Answer:

a and c can make a triangle.

Step-by-step explanation:

the sum of 2 sides must be greater than the last side, all the way around. so 12+14 is better than 20. but 4+8 is not better than 12

T or F: If you consume more calories, you must decrease your physical activity to have energy
balance.
(not math but for pe)

Answers

Answer:

F

Step-by-step explanation:

When your losing weight after consuming more calories, you need to increase physical activity to increase the number of calories your body uses for energy.

T because if you consume more calories you will need to descrease ur physical activity

Weisen Sie bei folgenden Rechnungsbeträgen die Mehrwertsteuer aus!

a) 124,30 € b) 69,30 c) 12,50 €

Answers

Answer:

hj0

Step-by-step explanation:

Hi0 c cbdjdnsnsns d s

please help im stuck on this question​

Answers

Answer:

(12,0)

Step-by-step explanation:

slope m=

[tex]\frac{54-36}{27-22} =\frac{18}{5}[/tex]

[tex]y-36=\frac{18}{5}(x-22)\\\\5y-180=18x-396\\\\y=\frac{18x}{5} -\frac{46}{5}[/tex]

[tex]0=\frac{10}{5}x-\frac{46}{5}\\\\x=\frac{216}{18} =12[/tex]

hope it helps...

have a great day

40 pts please help!
Find the circumference and area of a circle with a diameter of 7cm. Round your answers to the hundredth.

a. C = 21.98cm and A = 38.47cm squared
b. C = 21.98cm and A = 153.86cm squared
c. C = 43.96cm and A = 38.47cm squared
d. C = 43.96cm and A = 153.86cm squared

Answers

Answer:

a.

Step-by-step explanation:

diameter 7cm

radius 3.5cm

area =πr²

=22/7* 3.5²

=38.47cm²

circumference=πd

=22/7* 7

=22cm

Answer:

a. C = 21.98cm and A = 38.47cm squared

Step-by-step explanation:

Diameter is twice the radius. Therefore radius, r, is 3.5cm.

Circumference = 2πr =2π(3.5)=7π=21.98cm

Area=πr²=π(3.5²)=12.25π=38.47cm²

y=-2
4x-3y=18
solve for x and y

Answers

No need to solve for y. The value of y is given. See it?

To find x, plug the given value of y into

4x - 3y = 18.

4x - 3(-2) = 18

4x + 6 = 18

4x = 18 - 6

4x = 12

x = 12/4

x = 3

Answer: y = -2 and x = 3.

Understand?

Answer:

X=3 y=-2

Step-by-step explanation:

4x-3y=18

4x-3(-2)=18

4x+6=18

4×=18-6

4x=12

divide both sides by 4

X=3

Other Questions
Solve for n. n =Fast plz The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, of a full pan costs of $12. Identify the type of poetic foot used in each excerpt.iambictrochaicanapesticdactylicBy the shores of Gitche Gumee,By the shining Big-Sea-Water,(Henry Wadsworth Longfellow,Hiawathas Childhood)arrowRightI wandered lonely as a cloudThat floats on high o'er vales and hills,(William Wordsworth, I WanderedLonely as a Cloud)arrowRightForward, the Light Brigade!Charge for the guns! he said.(Alfred, Lord Tennyson, TheCharge of the Light Brigade)arrowRightThe volcanoes are dim, and thestars reel and swim,When the whirlwinds mybanner unfurl.(Percy Bysshe Shelley, The Cloud )arrowRight NEED ANSWER FAST!!which type of fallacy uses circular reasoning to support an argument?a. genetic fallacyb. begging the claimc. hasty generalization d. ad populum What is the space requirment of day old to four weeks of chicken for the layers.a.30 square inches per chickb.50 to 60 square cm.per birdc.15 square inches per chickd.None of the above If 14 more flamingos landed in the pond on the bottom, what would the population density be them? A About 8 meters squared B 14 flamingos C 34 flamingos D About 4.5 flamingos/meters squared HELP HELP HELP HELP what reason does Morel offer for why african resistance has waned? Translate the sentence into an equation.The sum of 5 times a number and 9 is equal to 4. total cost and interest for a loanBreannaEspanolTo purchase $13,900 worth of lab equipment for her business, Amy made a down payment of $1900 and took out a businessloan for the rest. After 3 years of paying monthly payments of $365.07, she finally paid off the loan. HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE Which numbered choice belowrepresents the equation used todevelop the chart of values seenat the right?1) x + y = -5 2) y = -x + 73) x - y = 5 4) y = x + 5 Nine more than the product of a number and 3 is equal to 7. Severe acute respiratory syndrome (SARS) is an illness caused by a coronavirus. Symptoms, including a high fever, headaches, and body aches, typically occur two to seven days after infection by the virus. This information suggests that the reproductive cycle of the SARS virus is - lysogenic, because the virus is a coronavirus. lysogenic, because the virus is a coronavirus. lysogenic, because the virus primarily affects older people. lysogenic, because the virus primarily affects older people. lytic, because the virus causes respiratory illness. lytic, because the virus causes respiratory illness. lytic, because of the quick onset of symptoms after infection. Find the missing length of the triangle 20 cm12 cm Give three examples that show the importance of gravity to humans 9/2 as a fraction and what is 2/3 reciprocal How would you show a rate of change of 3.5 meters per minute on a graph? help pls 21 mins left Pls answer quick!Choose the correct simplification of the expression (a^2/b^5)^3A. a to the 6th power over b to the 15th powerB. a to the 5th power over b to the 8th powerC. a over b to the 15th powerD. a6b15Thanks guys I, need help with this please help it is due today